Geodesic
On~the Dirichlet problem for an elliptic operator in a~cylindrical domain of Hilbert space
Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 423-438

Voir la notice de l'article provenant de la source Math-Net.Ru

A special class of elliptic operators with an infinite number of independent variables is introduced in the paper. The Dirichlet problem is considered in a cylindrical domain of Hilbert space for an operator belonging to this class. The investigation is based on the construction of a functional integral of double layer potential type. Bibliography: 11 titles. 
@article{SM_1973_21_3_a4,
     author = {N. N. Frolov},
     title = {On~the {Dirichlet} problem for an elliptic operator in a~cylindrical domain of {Hilbert} space},
     journal = {Sbornik. Mathematics},
     pages = {423--438},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_21_3_a4/}
}
TY  - JOUR
AU  - N. N. Frolov
TI  - On~the Dirichlet problem for an elliptic operator in a~cylindrical domain of Hilbert space
JO  - Sbornik. Mathematics
PY  - 1973
SP  - 423
EP  - 438
VL  - 21
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1973_21_3_a4/
LA  - en
ID  - SM_1973_21_3_a4
ER  - 
%0 Journal Article
%A N. N. Frolov
%T On~the Dirichlet problem for an elliptic operator in a~cylindrical domain of Hilbert space
%J Sbornik. Mathematics
%D 1973
%P 423-438
%V 21
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1973_21_3_a4/
%G en
%F SM_1973_21_3_a4
N. N. Frolov. On~the Dirichlet problem for an elliptic operator in a~cylindrical domain of Hilbert space. Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 423-438. http://geodesic.mathdoc.fr/item/SM_1973_21_3_a4/